32423281920 has 432 divisors, whose sum is σ = 116719529472. Its totient is φ = 8301035520.

The previous prime is 32423281837. The next prime is 32423281981. The reversal of 32423281920 is 2918232423.

32423281920 is a `hidden beast` number, since 3 + 242 + 328 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58210282 + ... + 58210838.

It is an arithmetic number, because the mean of its divisors is an integer number (270184096).

Almost surely, 2^32423281920 is an apocalyptic number.

32423281920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32423281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359764736).

32423281920 is an abundant number, since it is smaller than the sum of its proper divisors (84296247552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32423281920 is a wasteful number, since it uses less digits than its factorization.

32423281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 32423281920 in words is "thirty-two billion, four hundred twenty-three million, two hundred eighty-one thousand, nine hundred twenty".